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Simplifying 3x2 + -18x + 750 = 0 Reorder the terms: 750 + -18x + 3x2 = 0 Solving 750 + -18x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(250 + -6x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(250 + -6x + x2)' equal to zero and attempt to solve: Simplifying 250 + -6x + x2 = 0 Solving 250 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-250' to each side of the equation. 250 + -6x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + -6x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -6x + x2 = 0 + -250 -6x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 -6x + x2 = -250 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -250 + 9 Reorder the terms: 9 + -6x + x2 = -250 + 9 Combine like terms: -250 + 9 = -241 9 + -6x + x2 = -241 Factor a perfect square on the left side: (x + -3)(x + -3) = -241 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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